GCD of 866, 796, 610, 989 Calculator

Given Input numbers are 866, 796, 610, 989

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 866

List of positive integer divisors of 866 that divides 866 without a remainder.

1, 2, 433, 866

Divisors of 796

List of positive integer divisors of 796 that divides 796 without a remainder.

1, 2, 4, 199, 398, 796

Divisors of 610

List of positive integer divisors of 610 that divides 610 without a remainder.

1, 2, 5, 10, 61, 122, 305, 610

Divisors of 989

List of positive integer divisors of 989 that divides 989 without a remainder.

1, 23, 43, 989

Greatest Common Divisior

We found the divisors of 866, 796, 610, 989 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 866, 796, 610, 989 is 1.

Therefore, GCD of numbers 866, 796, 610, 989 is 1

Given Input Data is 866, 796, 610, 989

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 866 is 2 x 433

Prime Factorization of 796 is 2 x 2 x 199

Prime Factorization of 610 is 2 x 5 x 61

Prime Factorization of 989 is 23 x 43

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(866, 796) = 344668

GCD(866, 796) = ( 866 x 796 ) / 344668

GCD(866, 796) = 689336 / 344668

GCD(866, 796) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 610

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 610) = 610

GCD(2, 610) = ( 2 x 610 ) / 610

GCD(2, 610) = 1220 / 610

GCD(2, 610) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 989

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 989) = 1978

GCD(2, 989) = ( 2 x 989 ) / 1978

GCD(2, 989) = 1978 / 1978

GCD(2, 989) = 1

GCD of 866, 796, 610, 989 is 1

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1. What is the GCD of 866, 796, 610, 989?

GCD of 866, 796, 610, 989 is 1

2. Where do I get the detailed procedure to find GCD of 866, 796, 610, 989?

You can find a detailed procedure to find GCD of 866, 796, 610, 989 on our page.

3. How to find GCD of 866, 796, 610, 989 on a calculator?

You can find the GCD of 866, 796, 610, 989 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.